11382516 has 72 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 3552384.

The previous prime is 11382509. The next prime is 11382521. The reversal of 11382516 is 61528311.

It is a self number, because there is not a number n which added to its sum of digits gives 11382516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48736 + ... + 48968.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^11382516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11382516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

11382516 is an abundant number, since it is smaller than the sum of its proper divisors (19280844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11382516 is a wasteful number, since it uses less digits than its factorization.

11382516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 320 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11382516 is about 3373.7984527829. The cubic root of 11382516 is about 224.9465947323.

The spelling of 11382516 in words is "eleven million, three hundred eighty-two thousand, five hundred sixteen".